Define linear objective function. - Vidyadip

Question

Define linear objective function.

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Answer

The linear function $Z =a x+b y$, where $a, b$ are constants, of which the maximization on minimization is to be done, is called a linear objective function. For example, $Z=500 x+125 y$ is a linear objective function. Here $x$ and $y$ are called decision variables.

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Similar questions

Directions: In the following questions, the Assertions (A) and Reason(s) (R) have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion (A): It is necessary to find objective function value at every point in the feasible region to find optimum value of the objective function.
Reason(R): For the constrains $2\text{x}+3\text{y}\leq6,5\text{x}+3\text{y}\leq15,\text{x}\geq0$ and $\text{y}\geq0$ cornner points of the feasible region are (0, 2), (0, 0) and (3, 0).

Both A and R are true and R is the correct explanation of A
Both A and R are true but R is NOT the correct explanation of A
A is true but R is false.
A is false but R is true.

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